What is the Second Theorem of CASTIGLIANO?

Second Theorem of CASTIGLIANO is also known as Menabreas theorem which states that the forces developed in redundant framework are such that the total elastic strain energy is minimum.In this article,I am going to explain about what is the Second theorem of CASTIGLIANO in a detailed manner.

What is second theorem of Castigliano

Explanation:

If F1,F2 & Fr are the forces in redundant members of framework and ‘U’ is the elastic strain energy then

∂U/∂F1=0,∂U/∂F2=0…………………………………………………………………………………………………………∂U/∂Fr=0

This is also called as Principle of least work.

To explain about the Second Theorem of CASTIGLIANO,we can consider two structures

Redundant Structure

Structure with redundant members removed

The detailed explanation of the Second Theorem of CASTIGLIANO is shown below in the form of written material.

The detailed explanation of the Second Theorem of CASTIGLIANO is shown below in the video which is in the form of written material.

This is the complete explanation of Second Theorem of CASTIGLIANO which is shown in a detailed manner. If you have any doubts, feel free to ask from the comments section. Please Share and Like this blog with the whole world so that it can reach to many.